Manage your subscription

Enigma Number 1638

Same five digits

I have written down three different 5-digit perfect squares, which between them use five different digits. Each of the five digits is used a different number of times, the five numbers of times being the same as the five digits of the perfect squares. No digit is used its own number of times. If you knew which digit I have used just once you could deduce my three squares with certainty.

What are my three perfect squares?

WIN £15 will be awarded to the sender of the first correct answer opened on Monday 18 April. The Editor’s decision is final. Please send entries to Enigma 1638, New Scientist, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).